You're being literally bound to an argument that goes beyond literal meaning, add belief and faith to any argument and the rules change.Can't do what exactly?
In answer to the second question, yes, you believe. What you're not doing is conforming to the wishes.
If a book gives a definition for a god, and the content of the same book shows the god doesn't meet that criteria, does that god exist?
All academic to the point though, the claim was clear and precise. "Every terrorist is an atheist in theory" and that claim is patently wrong.
All that is being proven, is some can't understand the simple definition of atheism.